$(9$ problems $-10$ points total$)$

What is the horizontal angular error observed by a total station for the situations listed below:

a$.$ Setting a total station $4-mm$ to the side of a tack on a $52-m$ sight.

b$.$ Sighting the edge $($instead of center$)$ of a $10-mm$ chaining pin at $212-ft.$

c$.$ Sighting the edge $($instead of center$)$ of a $3-cm$ diameter range pole at $125-m.$

d$.$ Sighting the top of a $6-ft$ range pole that is leaning $7\text{'}$ out of plumb on a $175-ft$ sight.

The following zenith angles are measured in the direct position of a total station instrument. What

are the equivalent zenith angles in the reverse position?

a$.71{23}^{\text{'}}{35}^{\text{'}\text{'}}$

b$.96{18}^{\text{'}}{45}^{\text{'}\text{'}}$

The following zenith angles were measured with a total station. What are the equivalent altitude

angles?

a$.93{32}^{\text{'}}{14}^{\text{'}\text{'}}$

b$.268{56}^{\text{'}}{59}^{\text{'}\text{'}}$

please solve all $3$ will rate!